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Finding the Fourth Proportional to 4,327.48, 6,488.02 and 1,728.44

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Solution

The fourth proportional to 4,327.48, 6,488.02 and 1,728.44 is: 2,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.48 : 6,488.02 = 1,728.44 : x
  2. Step 2: Convert to fraction form
    4,327.48/6,488.02 = 1,728.44/x
  3. Step 3: Cross multiply
    4,327.48x = 6,488.02 × 1,728.44
  4. Step 4: Simplify right side
    4,327.48x = 11,214,153.29
  5. Step 5: Solve for x
    x = 11,214,153.29/4,327.48
  6. Step 6: Final answer
    x = 2,591.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.